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Finding the Fourth Proportional to 373.68, 559.08 and 257.76

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Solution

The fourth proportional to 373.68, 559.08 and 257.76 is: 385.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    373.68 : 559.08 = 257.76 : x
  2. Step 2: Convert to fraction form
    373.68/559.08 = 257.76/x
  3. Step 3: Cross multiply
    373.68x = 559.08 × 257.76
  4. Step 4: Simplify right side
    373.68x = 144,108.46
  5. Step 5: Solve for x
    x = 144,108.46/373.68
  6. Step 6: Final answer
    x = 385.65

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.